It depends on where you spend your time in the wild, really. I pass two lodges every time I go to the city - they are within 50 meters or so of the highway.
That's fairly unusual, though. You won't see many of them in built up areas because farmers don't want them on their land, because of the damage they do. They tend to be controlled in national parks, too, for the same reason (they trap them and move them to a place where they won't do much harm). I used to live about two and a half hours north of where I am now, where it was mostly bush, and beavers were common. You are more likely to see signs of them than see the actual animals, but they're not too shy. If you sit quietly near shore in an area where they are, you'll see them, eventually.
Where skunkee is, in Southern Ontario, beavers would be pretty rare, but I live in emptier country. She can see raccoons, though, which you never see here.